Mr. trager has $500.00 to spend at a bicycle store. all prices listed below include tax. he buys a new bicycle for $273.98. he buys 3 bicycle reflectors for $7.23 each and 1 bicycle helmet for $42.36. he plans to use the remaining money to buy new cycling outfits for $78.12

2 outfits

Step-by-step explanation:

first you have the total amount of money he has.

next subtract the amount of money he spends on the new bicycle

500-273.98=226.02

next find the total cost of the 3 bicycle reflectors

7.23 times 3 = 21.69

Subtract that total from the remaining amount of money left

226.02 - 21.69 = 204.33

Then subtract the helmet from the remaining money

204.33 - 42.36 = 161.97

now divide the remaining money by 78.12 to find out how many outfits he can buy

161.97 / 78.12 = around 2.07

So the answer is he can only buy 2 outfits with the remaining money

(you can not buy 2.07 outfits)

hope this helps and was what you were looking for

loloo

step-by-step explanation:

lololool

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt